{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "05a421e4",
   "metadata": {},
   "source": [
    "# [Fitting Models to Data](https://docs.astropy.org/en/stable/modeling/fitting.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e671c8b",
   "metadata": {},
   "source": [
    "# Simple 1-D model fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1c26952f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2c4b28d8040>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.modeling import models, fitting\n",
    "\n",
    "# Generate fake data\n",
    "np.random.seed(0)\n",
    "x = np.linspace(-5., 5., 200)\n",
    "y = 3 * np.exp(-0.5 * (x - 1.3)**2 / 0.8**2)\n",
    "y += np.random.normal(0., 0.2, x.shape)\n",
    "\n",
    "# Fit the data using a box model.\n",
    "# Bounds are not really needed but included here to demonstrate usage.\n",
    "t_init = models.Trapezoid1D(amplitude=1., x_0=0., width=1., slope=0.5,\n",
    "                            bounds={\"x_0\": (-5., 5.)})\n",
    "fit_t = fitting.LevMarLSQFitter()\n",
    "t = fit_t(t_init, x, y)\n",
    "\n",
    "# Fit the data using a Gaussian\n",
    "g_init = models.Gaussian1D(amplitude=1., mean=0, stddev=1.)\n",
    "fit_g = fitting.LevMarLSQFitter()\n",
    "g = fit_g(g_init, x, y)\n",
    "\n",
    "# Plot the data with the best-fit model\n",
    "plt.figure(figsize=(8,5))\n",
    "plt.plot(x, y, 'ko')\n",
    "plt.plot(x, t(x), label='Trapezoid')\n",
    "plt.plot(x, g(x), label='Gaussian')\n",
    "plt.xlabel('Position')\n",
    "plt.ylabel('Flux')\n",
    "plt.legend(loc=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "784eef97",
   "metadata": {},
   "source": [
    "# Simple 2-D model fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e190363e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Residual')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x180 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import warnings\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.modeling import models, fitting\n",
    "\n",
    "# Generate fake data\n",
    "np.random.seed(0)\n",
    "y, x = np.mgrid[:128, :128]\n",
    "z = 2. * x ** 2 - 0.5 * x ** 2 + 1.5 * x * y - 1.\n",
    "z += np.random.normal(0., 0.1, z.shape) * 50000.\n",
    "\n",
    "# Fit the data using astropy.modeling\n",
    "p_init = models.Polynomial2D(degree=2)\n",
    "fit_p = fitting.LevMarLSQFitter()\n",
    "\n",
    "with warnings.catch_warnings():\n",
    "    # Ignore model linearity warning from the fitter\n",
    "    warnings.simplefilter('ignore')\n",
    "    p = fit_p(p_init, x, y, z)\n",
    "\n",
    "# Plot the data with the best-fit model\n",
    "plt.figure(figsize=(8, 2.5))\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.imshow(z, origin='lower', interpolation='nearest', vmin=-1e4, vmax=5e4)\n",
    "plt.title(\"Data\")\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.imshow(p(x, y), origin='lower', interpolation='nearest', vmin=-1e4,\n",
    "           vmax=5e4)\n",
    "plt.title(\"Model\")\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.imshow(z - p(x, y), origin='lower', interpolation='nearest', vmin=-1e4,\n",
    "           vmax=5e4)\n",
    "plt.title(\"Residual\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "040a5fc4",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
